Use our free GCF of Fractions Calculator tool to compute the GCF of 118/902, 3795/4880 i.e 1/2200880 easily. The following is the detailed procedure to determine the greatest common factor of fractions 118/902, 3795/4880.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 118/902,3795/4880
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 118/902,3795/4880, numerators are 118,3795
Denominators are 902,4880
The GCF of 118,3795 is 1 .
LCM of 902,4880 is 2200880.
The greatest common factor of 118/902,3795/4880 = [GCF of 118,3795]/[LCM of 902,4880]= 1/2200880
Therefore, the GCF of 118/902,3795/4880 is 1/2200880.
To find the highest common factor of 118,3795, we have to find the factors of both numbers and list the highest common factor.
The factors of 118 are 1, 2, 59, 118
The factors of 3795 are 1, 3, 5, 11, 15, 23, 33, 55, 69, 115, 165, 253, 345, 759, 1265, 3795
The HCF of 118,3795 is 1.
Lets's calculate GCF of 118,3795
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 118
:1,2,59,118
Now, list down the factors of 3795
:1,3,5,11,15,23,33,55,69,115,165,253,345,759,1265,3795
Greatest Common Factor
We found the factors 118,3795 . The biggest common factor number is the GCF number.
So the greatest common factor 118,3795 is 1.
Lets's calculate LCM of 902,4880
2 | 902, 4880 |
451, 2440 |
∴ So the LCM of the given numbers is 2 x 451 x 2440 = 2200880
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2200880
Therefore, the GCF of Fractions 118/902,3795/4880 is 1/2200880
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 902,4880 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(902,4880) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(902,4880) x common factors =2 x 1 = 2
LCM(902,4880) = ( 902 × 4880 ) / 2
LCM(902,4880) = 4401760 / 2
LCM(902,4880) = 2200880
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 118,3795?
The HCF of 118,3795 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 118/902, 3795/4880?
Answer: GCF of Numerators as per given numbers 118/902, 3795/4880 is
GCF of Numerators i.e. for 118,3795 is 1
LCM of denominators i.e. for 902,4880 is 2200880.
Thus, GCF of Fractions is 1/2200880.Finally, GCF of Fractions for 118/902, 3795/4880 is 1/2200880.